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Finding the Fourth Proportional to 20,871.17, 31,310.39 and 9,184.08

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Solution

The fourth proportional to 20,871.17, 31,310.39 and 9,184.08 is: 13,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.17 : 31,310.39 = 9,184.08 : x
  2. Step 2: Convert to fraction form
    20,871.17/31,310.39 = 9,184.08/x
  3. Step 3: Cross multiply
    20,871.17x = 31,310.39 × 9,184.08
  4. Step 4: Simplify right side
    20,871.17x = 287,557,126.59
  5. Step 5: Solve for x
    x = 287,557,126.59/20,871.17
  6. Step 6: Final answer
    x = 13,777.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.